“腊月二十五,推磨做豆腐”.嵊州市某新农村至今还保留着过除夕前磨豆腐的传统习俗.如图1是磨豆腐用的传统工具老石磨,主要部件为一条磨凳,上下两个磨盘,一根推拉杆以及用拉绳稳定的推拉用的扶手等.图2是老石磨静止时的示意图,推拉杆
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及扶手
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平行于水平面,E是天花板顶部的拉钩,两根拉绳与扶手
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恰好组成等腰三角形
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, 此时拉钩E与扶手
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的中心点B所在的直线垂直于水平面.现测得推拉杆
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距地面的高度为
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, 天花板顶部E距地面
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, 若
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, 求两根拉绳的总长度至少为多少m.(结果精确到
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. 参考数据:
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,
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,
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)
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